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On the Dynamical Behaviour of the Generalized Ricci Flow

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Abstract

Motivated by Müller–Haslhofer results on the dynamical stability and instability of Ricci-flat metrics under the Ricci flow, we obtain dynamical stability and instability results for pairs of Ricci-flat metrics and vanishing 3-forms under the generalized Ricci flow.

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Acknowledgements

The authors would like to thank Reto Buzano, Mario Garcia Fernández, Fabio Paradiso and Jeffrey Streets for useful comments and conversations. They are also grateful to the referee for his/her valuable remarks and suggestions. The authors were supported by GNSAGA of INdAM. A.R. was also supported by the project PRIN 2017 “Real and Complex Manifolds: Topology, Geometry and Holomorphic Dynamics”.

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  1. Dipartimento di Matematica “G. Peano”, Università degli Studi di Torino, Via Carlo Alberto 10, 10123, Torino, Italy

    Alberto Raffero & Luigi Vezzoni

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  1. Alberto Raffero
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  2. Luigi Vezzoni
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Correspondence to Luigi Vezzoni.

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Raffero, A., Vezzoni, L. On the Dynamical Behaviour of the Generalized Ricci Flow. J Geom Anal 31, 10498–10509 (2021). https://doi.org/10.1007/s12220-021-00656-7

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  • DOI: https://doi.org/10.1007/s12220-021-00656-7

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